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SOLITONS, KINKS AND SINGULAR SOLUTIONS OF COUPLED KORTEWEG-DE VRIES EQUATIONS
Journal article

SOLITONS, KINKS AND SINGULAR SOLUTIONS OF COUPLED KORTEWEG-DE VRIES EQUATIONS

Bouthina S. Ahmed and Anjan Biswas
Proceedings of the Romanian Academy. Series A Mathematics, Physics, Technical Sciences, Information Science, Vol.14(2), pp.111-120
01/04/2013

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
This paper studies the coupled Korteweg-de Vries (KdV) equations that describe shallow two-layered water waves in ocean shores. The ansatz method is employed to retrieve the solitary wave solutions, topological and singular solitons of this coupled system of equations. The constraint conditions will fall out for the existence of these types of solitons. The study is also generalized to coupled KdV equations with power law nonlinearity. The numerical simulations supplement the analytical schemes.

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